Answer:2, -2, 6 or -6
Step-by-step explanation:
Given,
The location of Ann's house in the number line = 0,
∵ Ben lives 4 blocks from Ann.
So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )
Now, Carl lives 2 blocks from Ben,
So, the possible location of Carl's house
Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )
Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )
Answer:
n = 5.5
Step-by-step explanation:
4n - 10 = 12
4n = 12 + 10
4n = 22
n = 22/4
n = 5.5
Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) = 
To find: the perimeter of the star
Solution:
Area of the shaded region (square) =
Area of square = 
As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
